102166465525 has 24 divisors (see below), whose sum is σ = 130784750024. Its totient is φ = 79111987200.

The previous prime is 102166465481. The next prime is 102166465553. The reversal of 102166465525 is 525564661201.

It can be written as a sum of positive squares in 12 ways, for example, as 11316066129 + 90850399396 = 106377^2 + 301414^2 .

It is not a de Polignac number, because 102166465525 - 2¹⁹ = 102165941237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107616 + ... + 464665.

Almost surely, 2^102166465525 is an apocalyptic number.

It is an amenable number.

102166465525 is a deficient number, since it is larger than the sum of its proper divisors (28618284499).

102166465525 is a wasteful number, since it uses less digits than its factorization.

102166465525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572521 (or 572516 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 102166465525 in words is "one hundred two billion, one hundred sixty-six million, four hundred sixty-five thousand, five hundred twenty-five".